If I have the following data:
data={{-0.00315, 0.126753}, {0.158, 0.34738}, {0.318, 0.610518}, {0.482,
0.708348}, {0.65, 0.6813}, {0.819, 0.562896}, {0.99,
0.41172}, {1.16, 0.275113}, {1.329, 0.16488}, {1.498,
0.0798336}, {1.666,
0.00903414}, {1.834, -0.0418784}, {2.002, -0.0870378}, {2.17, \
-0.125302}, {2.337, -0.158785}, {2.505, -0.181961}, {2.672, \
-0.200542}, {2.839, -0.216578}, {3.006, -0.231223}, {3.173, \
-0.239746}, {3.34, -0.247273}, {3.506, -0.253446}, {3.673, \
-0.258429}, {3.84, -0.262291}, {4.007, -0.265895}, {4.174, \
-0.268853}, {4.34, -0.27127}, {4.507, -0.27241}, {4.674, -0.274048}, \
{4.84, -0.275682}, {5.007, -0.277236}, {5.174, -0.278333}, {5.341, \
-0.279446}, {5.507, -0.280439}, {5.674, -0.281374}, {5.841, \
-0.28189}, {6.007, -0.282508}, {6.174, -0.283111}, {6.341, \
-0.283684}, {6.507, -0.284136}, {6.674, -0.284641}, {6.841, \
-0.285097}, {7.007, -0.285508}, {7.174, -0.285923}, {7.341, \
-0.286333}, {7.507, -0.286723}, {7.674, -0.287128}, {7.841, \
-0.28745}, {8.008, -0.287768}, {8.174, -0.288012}, {8.341, \
-0.288185}, {8.508, -0.288388}, {8.674, -0.288586}, {8.841, \
-0.288765}, {9.008, -0.288923}, {9.174, -0.289066}, {9.341, \
-0.289241}, {9.508, -0.289455}, {9.674, -0.289681}, {9.841, \
-0.289853}, {10.008, -0.289974}, {10.174, -0.290014}, {10.341, \
-0.289988}, {10.508, -0.289898}, {10.674, -0.289901}, {10.841, \
-0.289859}, {11.008, -0.289781}, {11.174, -0.289699}, {11.341, \
-0.289642}, {11.508, -0.289568}, {11.674, -0.289438}, {11.841, \
-0.289345}, {12.008, -0.289218}, {12.174, -0.289121}, {12.341, \
-0.289008}, {12.508, -0.288971}, {12.674, -0.288876}, {12.841, \
-0.288826}, {13.008, -0.288822}, {13.174, -0.288812}, {13.341, \
-0.288805}, {13.508, -0.288748}, {13.674, -0.288629}, {13.841, \
-0.288436}, {14.008, -0.288274}, {14.174, -0.288134}, {14.341, \
-0.28802}, {14.508, -0.287779}, {14.674, -0.287551}, {14.841, \
-0.28736}, {15.008, -0.287181}, {15.175, -0.286937}, {15.341, \
-0.286592}, {15.508, -0.286185}, {15.674, -0.285752}, {15.841, \
-0.285263}, {16.008, -0.284903}, {16.174, -0.284575}, {16.341, \
-0.28426}, {16.508, -0.284071}, {16.674, -0.283819}, {16.841, \
-0.283513}, {17.008, -0.283166}, {17.174, -0.282799}, {17.341, \
-0.282432}, {17.508, -0.282055}, {17.674, -0.281696}, {17.841, \
-0.281354}, {18.008, -0.281035}, {18.174, -0.280757}, {18.341, \
-0.280478}, {18.508, -0.280334}, {18.674, -0.280169}, {18.841, \
-0.280018}, {19.008, -0.279858}, {19.174, -0.279541}, {19.341, \
-0.279208}, {19.508, -0.278857}, {19.674, -0.278511}, {19.841, \
-0.277801}, {20.008, -0.277262}, {20.174, -0.276875}, {20.341, \
-0.276549}, {20.508, -0.276254}, {20.674, -0.275957}, {20.841, \
-0.275636}, {21.008, -0.275297}, {21.174, -0.275031}, {21.341, \
-0.274609}, {21.508, -0.27409}, {21.674, -0.273611}, {21.841, \
-0.273017}, {22.008, -0.272631}, {22.174, -0.272325}, {22.341, \
-0.272017}, {22.508, -0.271829}, {22.674, -0.271543}, {22.841, \
-0.271195}, {23.008, -0.270794}, {23.174, -0.270298}, {23.341, \
-0.269889}, {23.508, -0.269427}, {23.674, -0.268928}, {23.841, \
-0.268469}, {24.008, -0.267981}, {24.174, -0.267485}, {24.341, \
-0.267031}, {24.508, -0.266577}, {24.674, -0.266117}, {24.841, \
-0.265664}, {25.008, -0.265204}, {25.174, -0.264693}, {25.341, \
-0.264208}, {25.508, -0.263781}, {25.674, -0.263336}, {25.841, \
-0.262832}, {26.008, -0.262378}, {26.174, -0.261943}, {26.341, \
-0.261538}, {26.508, -0.261139}, {26.674, -0.260697}, {26.841, \
-0.260294}, {27.008, -0.259955}, {27.174, -0.259616}, {27.341, \
-0.259274}, {27.508, -0.258875}, {27.674, -0.258428}, {27.841, \
-0.258035}, {28.008, -0.257551}, {28.174, -0.256993}, {28.341, \
-0.256446}, {28.508, -0.255803}, {28.674, -0.255216}, {28.841, \
-0.254585}, {29.008, -0.253943}, {29.174, -0.253247}, {29.341, \
-0.252542}, {29.507, -0.251793}, {29.674, -0.251058}, {29.841, \
-0.250282}, {30.007, -0.24952}, {30.174, -0.24874}, {30.341, \
-0.247909}, {30.507, -0.247148}, {30.674, -0.246381}, {30.841, \
-0.245575}, {31.007, -0.244719}, {31.174, -0.24374}, {31.341, \
-0.242809}, {31.507, -0.241985}, {31.674, -0.241181}, {31.841, \
-0.240141}, {32.007, -0.239135}, {32.174, -0.238192}, {32.34, \
-0.237251}, {32.507, -0.236159}, {32.674, -0.235149}, {32.84, \
-0.234189}, {33.007, -0.233218}, {33.174, -0.232171}, {33.34, \
-0.231172}, {33.507, -0.230185}, {33.674, -0.22918}, {33.84, \
-0.228132}, {34.007, -0.227082}, {34.174, -0.226049}, {34.34, \
-0.225023}, {34.507, -0.223832}, {34.673, -0.222559}, {34.84, \
-0.221244}, {35.007, -0.219934}, {35.173, -0.218317}, {35.34, \
-0.216785}, {35.507, -0.215324}, {35.673, -0.213929}, {35.84, \
-0.212302}, {36.006, -0.210644}, {36.173, -0.208982}, {36.34, \
-0.207308}, {36.506, -0.205411}, {36.673, -0.203602}, {36.84, \
-0.201773}, {37.006, -0.199953}, {37.173, -0.198106}, {37.339, \
-0.196219}, {37.506, -0.194192}, {37.673, -0.192115}, {37.839, \
-0.189914}, {38.006, -0.18776}, {38.172, -0.185668}, {38.339, \
-0.183607}, {38.506, -0.181263}, {38.672, -0.17896}, {38.839, \
-0.176679}, {39.005, -0.174385}, {39.172, -0.171894}, {39.339, \
-0.169328}, {39.505, -0.166651}, {39.672, -0.163939}, {39.838, \
-0.161041}, {40.005, -0.158169}, {40.172, -0.155214}, {40.338, \
-0.152182}, {40.505, -0.148979}, {40.671, -0.145736}, {40.838, \
-0.142339}, {41.004, -0.138837}, {41.171, -0.134978}, {41.337, \
-0.131147}, {41.504, -0.12719}, {41.671, -0.123083}, {41.837, \
-0.118575}, {42.004, -0.114119}, {42.17, -0.109542}, {42.337, \
-0.104877}, {42.503, -0.0996522}, {42.67, -0.0945852}, {42.836, \
-0.0891624}, {43.003, -0.083505}, {43.169, -0.076785}, {43.336, \
-0.0704892}, {43.502, -0.0641094}, {43.669, -0.0575858}, {43.835, \
-0.0505137}, {44.001, -0.0435692}, {44.168, -0.0365599}, {44.334, \
-0.0292208}, {44.501, -0.021045}, {44.667, -0.0131527}, {44.833, \
-0.00518114}, {45., 0.00288158}, {45.166, 0.011333}, {45.333,
0.0197519}, {45.499, 0.0282636}, {45.665, 0.0368329}, {45.832,
0.0457119}, {45.998, 0.0545137}, {46.165, 0.0633846}, {46.331,
0.0722946}, {46.497, 0.0813336}, {46.664, 0.090318}, {46.83,
0.0992748}, {46.996, 0.108215}, {47.163, 0.117015}, {47.329,
0.125778}, {47.496, 0.134474}, {47.662, 0.143154}, {47.828,
0.151453}, {47.995, 0.159776}, {48.161, 0.168047}, {48.328,
0.176035}, {48.494, 0.183261}, {48.66, 0.190688}, {48.827,
0.197972}, {48.993, 0.205079}, {49.16, 0.211915}, {49.326,
0.218641}, {49.493, 0.224641}, {49.659, 0.230096}, {49.826,
0.234929}, {49.992, 0.239776}, {50.159, 0.244378}, {50.325,
0.248743}, {50.492, 0.252269}, {50.658, 0.255722}, {50.825,
0.258829}, {50.991, 0.261665}, {51.158, 0.263764}, {51.325,
0.26555}, {51.491, 0.26677}, {51.658, 0.267373}, {51.824,
0.267384}, {51.991, 0.267375}, {52.158, 0.267326}, {52.324,
0.266765}, {52.491, 0.265855}, {52.658, 0.265103}, {52.825,
0.26389}, {52.991, 0.262271}, {53.158, 0.260472}, {53.325,
0.25842}, {53.491, 0.256185}, {53.658, 0.253946}, {53.825,
0.251351}, {53.992, 0.248946}, {54.158, 0.246508}, {54.325,
0.244065}, {54.492, 0.241578}, {54.659, 0.239058}, {54.825,
0.23647}, {54.992, 0.233869}, {55.159, 0.231235}, {55.326,
0.228711}, {55.492, 0.226229}, {55.659, 0.22376}, {55.826,
0.221422}, {55.993, 0.219029}, {56.159, 0.216697}, {56.326,
0.214469}, {56.493, 0.212241}, {56.66, 0.209987}, {56.826,
0.207697}, {56.993, 0.205387}, {57.16, 0.203096}, {57.326,
0.200839}, {57.493, 0.198632}, {57.66, 0.196401}, {57.827,
0.194282}, {57.993, 0.19223}, {58.16, 0.19021}, {58.327,
0.188157}, {58.494, 0.186269}, {58.66, 0.184274}, {58.827,
0.182289}, {58.994, 0.180325}, {59.161, 0.178318}, {59.327,
0.176348}, {59.494, 0.174424}, {59.661, 0.172544}, {59.827,
0.170756}, {59.994, 0.168949}, {60.161, 0.167176}, {60.328,
0.165421}, {60.494, 0.163828}, {60.661, 0.162229}, {60.828,
0.160689}, {60.994, 0.1592}, {61.161, 0.158029}, {61.328,
0.156791}, {61.495, 0.155587}, {61.661, 0.154434}, {61.828,
0.153685}, {61.995, 0.152843}, {62.161, 0.151995}, {62.328,
0.151172}, {62.495, 0.150676}, {62.661, 0.150183}, {62.828,
0.149729}, {62.995, 0.149264}, {63.161, 0.149044}, {63.328,
0.148768}, {63.495, 0.14846}, {63.661, 0.148177}, {63.828,
0.147968}, {63.995, 0.147832}, {64.161, 0.147751}, {64.328,
0.147681}, {64.495, 0.147871}, {64.661, 0.14798}, {64.828,
0.148045}, {64.995, 0.148127}, {65.161, 0.148333}, {65.328,
0.148519}, {65.495, 0.148746}, {65.661, 0.148993}, {65.828,
0.149293}, {65.995, 0.149581}, {66.161, 0.14984}, {66.328,
0.150074}, {66.495, 0.150317}, {66.661, 0.150594}, {66.828,
0.150893}, {66.995, 0.151145}, {67.161, 0.151349}, {67.328,
0.151596}, {67.495, 0.151879}, {67.661, 0.152171}, {67.828,
0.152417}, {67.995, 0.152683}, {68.161, 0.15298}, {68.328,
0.153264}, {68.494, 0.153519}, {68.661, 0.15379}, {68.828,
0.154074}, {68.994, 0.154343}, {69.161, 0.154639}, {69.328,
0.154867}, {69.494, 0.155066}, {69.661, 0.155256}, {69.828,
0.155428}, {69.994, 0.155633}, {70.161, 0.155835}, {70.328,
0.156048}, {70.494, 0.156208}, {70.661, 0.156371}, {70.828,
0.156583}, {70.994, 0.156855}, {71.161, 0.157074}, {71.328,
0.157241}, {71.494, 0.157373}, {71.661, 0.157471}, {71.828,
0.1576}, {71.994, 0.157742}, {72.161, 0.157854}, {72.328,
0.157965}, {72.494, 0.157954}, {72.661, 0.157978}, {72.828,
0.158011}, {72.994, 0.158083}, {73.161, 0.158084}, {73.328,
0.15812}, {73.494, 0.158182}, {73.661, 0.158249}, {73.827,
0.158411}, {73.994, 0.158559}, {74.161, 0.158732}, {74.327,
0.158946}, {74.494, 0.159179}, {74.661, 0.159352}, {74.827,
0.159518}, {74.994, 0.15972}, {75.161, 0.159878}, {75.327,
0.16}, {75.494, 0.16012}, {75.661, 0.160271}, {75.827,
0.160365}, {75.994, 0.160493}, {76.161, 0.160636}, {76.327,
0.160767}, {76.494, 0.161044}, {76.661, 0.161255}, {76.827,
0.161402}, {76.994, 0.161526}, {77.161, 0.161749}, {77.327,
0.161882}, {77.494, 0.161957}, {77.661, 0.162052}, {77.827,
0.162061}, {77.994, 0.162069}, {78.161, 0.162112}, {78.327,
0.162212}, {78.494, 0.162309}, {78.661, 0.162411}, {78.827,
0.162493}, {78.994, 0.162625}, {79.161, 0.16282}, {79.327,
0.163015}, {79.494, 0.163262}, {79.66, 0.163579}, {79.827,
0.163916}, {79.994, 0.164259}, {80.16, 0.164585}, {80.327,
0.164895}, {80.494, 0.165142}, {80.66, 0.165362}, {80.827,
0.165622}, {80.994, 0.165866}, {81.16, 0.16601}, {81.327,
0.166204}, {81.494, 0.166403}, {81.66, 0.166623}, {81.827,
0.166899}, {81.994, 0.167171}, {82.16, 0.167443}, {82.327,
0.16771}, {82.494, 0.167924}, {82.66, 0.16811}, {82.827,
0.168226}, {82.994, 0.168308}, {83.16, 0.168347}, {83.327,
0.168486}, {83.494, 0.168626}, {83.66, 0.168751}, {83.827,
0.169016}, {83.993, 0.169215}, {84.16, 0.16939}, {84.327,
0.16958}, {84.493, 0.169761}, {84.66, 0.169925}, {84.827,
0.170097}, {84.993, 0.17027}, {85.16, 0.170453}, {85.327,
0.170647}, {85.493, 0.170833}, {85.66, 0.171079}, {85.827,
0.171308}, {85.993, 0.171482}, {86.16, 0.171641}, {86.327,
0.171863}, {86.493, 0.171949}, {86.66, 0.172118}, {86.827,
0.172321}, {86.993, 0.172513}, {87.16, 0.172724}, {87.327,
0.172895}, {87.493, 0.17308}, {87.66, 0.173278}, {87.827,
0.173467}, {87.993, 0.173731}, {88.16, 0.174029}, {88.326,
0.174274}, {88.493, 0.174671}, {88.66, 0.175004}, {88.826,
0.175321}, {88.993, 0.175669}, {89.16, 0.175955}, {89.326,
0.176202}, {89.493, 0.176432}, {89.66, 0.176686}, {89.826,
0.176854}, {89.993, 0.177096}, {90.16, 0.177341}, {90.326,
0.177566}, {90.493, 0.177875}, {90.66, 0.178146}, {90.826,
0.178371}, {90.993, 0.178553}, {91.16, 0.178652}, {91.326,
0.178772}, {91.493, 0.178895}, {91.66, 0.179004}, {91.826,
0.179097}, {91.993, 0.179259}, {92.16, 0.179472}, {92.326,
0.179722}, {92.493, 0.180107}, {92.659, 0.180471}, {92.826,
0.180821}, {92.993, 0.18114}, {93.159, 0.181528}, {93.326,
0.181818}, {93.493, 0.182092}, {93.659, 0.182398}, {93.826,
0.182523}, {93.993, 0.182656}, {94.159, 0.182842}, {94.326,
0.183071}, {94.493, 0.183302}, {94.659, 0.183563}, {94.826,
0.183825}, {94.993, 0.184069}, {95.159, 0.184417}, {95.326,
0.184631}, {95.493, 0.184816}, {95.659, 0.185008}, {95.826,
0.185064}, {95.993, 0.185173}, {96.159, 0.185291}, {96.326,
0.185458}, {96.492, 0.18562}, {96.659, 0.185752}, {96.826,
0.185963}, {96.992, 0.186226}, {97.159, 0.186486}, {97.326,
0.186771}, {97.492, 0.187079}, {97.659, 0.187382}, {97.826,
0.187623}, {97.992, 0.187864}, {98.159, 0.188131}, {98.326,
0.188344}, {98.492, 0.188504}, {98.659, 0.188669}, {98.826,
0.188812}, {98.992, 0.188936}, {99.159, 0.18909}, {99.326,
0.18928}, {99.492, 0.189456}, {99.659, 0.189623}, {99.826,
0.189791}}
which plotted like ListPlot[data, PlotRange -> {{20, 80}, All}] gives:
Question:
How can I calculate DT like in this Figure?:
Steps to calculate DT:
Get the extrapolated lines of the two base lines like this:
`datglass = Select[data, 20 <= #[1] <= 33 &]; datliq = Select[datTCpc, 65 <= #[1] <= 80 &]; mod1 = LinearModelFit[datglass2, x, x]; mod2 = LinearModelFit[datliq2, x, x];
Show[
ListPlot[data, PlotRange -> {{20, 80}, All}],
Plot[mod1[x], {x, 20, 100}, PlotStyle -> {Green, Dashed}],
Plot[mod2[x], {x, 20, 100}, PlotStyle -> {Green, Dashed}]
]`
which gives:
- Get the change of the extrapolated lines at one temperature (for example 45) like this:
mod2[45] - mod1[45] (*0.340854*)
Please notice that this change is performed at a single x-value. Depending on the x-value choosen (here 45) the 16% change or 84% can be different. If I choose this to be x=30, then the total change would be slightly smaller and therefor 16% and 84% will be reach at different points than at x=45 as an example
Get the value where the change calculated in step 2 is approximately 16% (starting from down to up) and also where it is 84% and get the x-value of the curve at those points. Lets call the point at 16% x1 and the one at 84% x2. This step I dont know how to do it
Calculate
DTby simply subtracting the x values at 84% and 16% simply byx2-x1. In the reference figureDTis 5 as x1 was 40 and x2 was 45.
PLEASE NOTICE THAT I AM NOT ASKING FOR HOW TO DRAW THE PLOT BUT TO GET THE DT VALUE. IT WOULD BE A PLUS THE PLOT AND THE VALUE. IN THIS CASE DT IS NOT NECCESARY 5 AS THIS IS ANOTHER TYPE OF DATA
UPDATA WITH ANOTHER DATA
I am trying to use the same code developed by @Daniel Huber with this data:
data1={{-0.001538, 2.26641}, {0.163, 2.70654}, {0.328, 2.97845}, {0.495,
2.80285}, {0.665, 2.29012}, {0.837, 1.35502}, {1.009,
0.477173}, {1.18, -0.256822}, {1.35, -0.878713}, {1.519, -1.27913}, \
{1.688, -1.60982}, {1.856, -1.8833}, {2.024, -2.12398}, {2.192, \
-2.29115}, {2.359, -2.4347}, {2.527, -2.54921}, {2.694, -2.64513}, \
{2.861, -2.70857}, {3.028, -2.76646}, {3.195, -2.81171}, {3.362, \
-2.85255}, {3.529, -2.8834}, {3.696, -2.90407}, {3.862, -2.92046}, \
{4.029, -2.93558}, {4.196, -2.94825}, {4.363, -2.96032}, {4.53, \
-2.97217}, {4.696, -2.9837}, {4.863, -2.99274}, {5.03, -3.00218}, \
{5.197, -3.0115}, {5.363, -3.02062}, {5.53, -3.02815}, {5.697, \
-3.03603}, {5.864, -3.04375}, {6.03, -3.0516}, {6.197, -3.05826}, \
{6.364, -3.06483}, {6.531, -3.07113}, {6.697, -3.07755}, {6.864, \
-3.08303}, {7.031, -3.08886}, {7.197, -3.09423}, {7.364, -3.09916}, \
{7.531, -3.1043}, {7.698, -3.1094}, {7.864, -3.11439}, {8.031, \
-3.11904}, {8.198, -3.1233}, {8.365, -3.12774}, {8.531, -3.13246}, \
{8.698, -3.13688}, {8.865, -3.14108}, {9.031, -3.14528}, {9.198, \
-3.14939}, {9.365, -3.1533}, {9.532, -3.15764}, {9.698, -3.16169}, \
{9.865, -3.16552}, {10.032, -3.16904}, {10.199, -3.17313}, {10.365, \
-3.17728}, {10.532, -3.18108}, {10.699, -3.18471}, {10.865, \
-3.18847}, {11.032, -3.19205}, {11.199, -3.19563}, {11.366, \
-3.19922}, {11.532, -3.20244}, {11.699, -3.20571}, {11.866, \
-3.20887}, {12.032, -3.21203}, {12.199, -3.21519}, {12.366, \
-3.21798}, {12.533, -3.22049}, {12.699, -3.22305}, {12.866, \
-3.22566}, {13.033, -3.22817}, {13.199, -3.23038}, {13.366, \
-3.23265}, {13.533, -3.23521}, {13.7, -3.23757}, {13.866, -3.23994}, \
{14.033, -3.24213}, {14.2, -3.24431}, {14.366, -3.24665}, {14.533, \
-3.249}, {14.7, -3.25138}, {14.867, -3.2536}, {15.033, -3.25595}, \
{15.2, -3.25822}, {15.367, -3.26053}, {15.533, -3.26267}, {15.7, \
-3.26504}, {15.867, -3.26735}, {16.034, -3.26972}, {16.2, -3.27189}, \
{16.367, -3.2743}, {16.534, -3.27689}, {16.7, -3.27947}, {16.867, \
-3.28199}, {17.034, -3.28426}, {17.201, -3.28623}, {17.367, \
-3.28811}, {17.534, -3.28959}, {17.701, -3.29127}, {17.867, \
-3.29278}, {18.034, -3.2943}, {18.201, -3.29545}, {18.368, -3.2967}, \
{18.534, -3.29812}, {18.701, -3.2995}, {18.868, -3.3007}, {19.034, \
-3.30211}, {19.201, -3.30348}, {19.368, -3.30471}, {19.535, \
-3.30603}, {19.701, -3.30718}, {19.868, -3.30833}, {20.035, \
-3.30956}, {20.201, -3.31049}, {20.368, -3.31168}, {20.535, \
-3.31328}, {20.701, -3.31484}, {20.868, -3.31616}, {21.035, \
-3.31781}, {21.202, -3.31942}, {21.368, -3.32071}, {21.535, \
-3.32215}, {21.702, -3.32349}, {21.868, -3.32466}, {22.035, \
-3.32584}, {22.202, -3.32742}, {22.369, -3.3288}, {22.535, -3.33023}, \
{22.702, -3.33186}, {22.869, -3.33367}, {23.035, -3.33526}, {23.202, \
-3.33679}, {23.369, -3.33836}, {23.536, -3.339}, {23.702, -3.33991}, \
{23.869, -3.34088}, {24.036, -3.34209}, {24.202, -3.34272}, {24.369, \
-3.34368}, {24.536, -3.34489}, {24.703, -3.34625}, {24.869, \
-3.34804}, {25.036, -3.3494}, {25.203, -3.35063}, {25.369, -3.35232}, \
{25.536, -3.35339}, {25.703, -3.35458}, {25.869, -3.35593}, {26.036, \
-3.35718}, {26.203, -3.35729}, {26.37, -3.35783}, {26.536, -3.3587}, \
{26.703, -3.35954}, {26.87, -3.35995}, {27.036, -3.36046}, {27.203, \
-3.3609}, {27.37, -3.36126}, {27.537, -3.36167}, {27.703, -3.36184}, \
{27.87, -3.3621}, {28.037, -3.36258}, {28.203, -3.36325}, {28.37, \
-3.36399}, {28.537, -3.36457}, {28.703, -3.36515}, {28.87, -3.36614}, \
{29.037, -3.36694}, {29.204, -3.36787}, {29.37, -3.36887}, {29.537, \
-3.36937}, {29.704, -3.37021}, {29.87, -3.3711}, {30.037, -3.37182}, \
{30.204, -3.37223}, {30.37, -3.37274}, {30.537, -3.37345}, {30.704, \
-3.3742}, {30.871, -3.37456}, {31.037, -3.37516}, {31.204, -3.37571}, \
{31.371, -3.37625}, {31.537, -3.37699}, {31.704, -3.37766}, {31.871, \
-3.37825}, {32.038, -3.37866}, {32.204, -3.37932}, {32.371, \
-3.37987}, {32.538, -3.38029}, {32.704, -3.38055}, {32.871, \
-3.38092}, {33.038, -3.38099}, {33.204, -3.38103}, {33.371, -3.3811}, \
{33.538, -3.38113}, {33.705, -3.38101}, {33.871, -3.38074}, {34.038, \
-3.38059}, {34.205, -3.38085}, {34.371, -3.38078}, {34.538, \
-3.38033}, {34.705, -3.37953}, {34.871, -3.37892}, {35.038, \
-3.37818}, {35.205, -3.37749}, {35.372, -3.37687}, {35.538, \
-3.37601}, {35.705, -3.37528}, {35.872, -3.37484}, {36.038, \
-3.37447}, {36.205, -3.37399}, {36.372, -3.37346}, {36.538, \
-3.37283}, {36.705, -3.37201}, {36.872, -3.37123}, {37.038, \
-3.37041}, {37.205, -3.36921}, {37.372, -3.3677}, {37.539, -3.36629}, \
{37.705, -3.3648}, {37.872, -3.36307}, {38.039, -3.3611}, {38.205, \
-3.35875}, {38.372, -3.35683}, {38.539, -3.35479}, {38.705, \
-3.35248}, {38.872, -3.3493}, {39.039, -3.3461}, {39.205, -3.34291}, \
{39.372, -3.3396}, {39.539, -3.33475}, {39.705, -3.33046}, {39.872, \
-3.32603}, {40.039, -3.32139}, {40.205, -3.31585}, {40.372, \
-3.31055}, {40.539, -3.30487}, {40.705, -3.2992}, {40.872, -3.29307}, \
{41.039, -3.28689}, {41.205, -3.28041}, {41.372, -3.27368}, {41.539, \
-3.26604}, {41.705, -3.25817}, {41.872, -3.2497}, {42.039, -3.23927}, \
{42.205, -3.2273}, {42.372, -3.2156}, {42.538, -3.20316}, {42.705, \
-3.19005}, {42.872, -3.17445}, {43.038, -3.15944}, {43.205, \
-3.14379}, {43.371, -3.12596}, {43.538, -3.10652}, {43.704, \
-3.08829}, {43.871, -3.06856}, {44.038, -3.04632}, {44.204, \
-3.01981}, {44.37, -2.99224}, {44.537, -2.96199}, {44.703, -2.92876}, \
{44.87, -2.89357}, {45.036, -2.85849}, {45.203, -2.82048}, {45.369, \
-2.78032}, {45.535, -2.73557}, {45.702, -2.69131}, {45.868, \
-2.64817}, {46.035, -2.60535}, {46.201, -2.56072}, {46.367, \
-2.51781}, {46.534, -2.4778}, {46.7, -2.43909}, {46.867, -2.41276}, \
{47.033, -2.39244}, {47.2, -2.38113}, {47.366, -2.37666}, {47.533, \
-2.39127}, {47.7, -2.41467}, {47.867, -2.44979}, {48.034, -2.49259}, \
{48.201, -2.55015}, {48.368, -2.61479}, {48.536, -2.67798}, {48.703, \
-2.74132}, {48.87, -2.80162}, {49.037, -2.85702}, {49.204, -2.90587}, \
{49.371, -2.94993}, {49.538, -2.9812}, {49.705, -3.00676}, {49.872, \
-3.02562}, {50.039, -3.04274}, {50.205, -3.05399}, {50.372, \
-3.06421}, {50.539, -3.07176}, {50.706, -3.07712}, {50.872, \
-3.08042}, {51.039, -3.08486}, {51.206, -3.08872}, {51.373, \
-3.09215}, {51.539, -3.0944}, {51.706, -3.09713}, {51.873, -3.09956}, \
{52.039, -3.1018}, {52.206, -3.10331}, {52.373, -3.10512}, {52.54, \
-3.10694}, {52.706, -3.10889}, {52.873, -3.11015}, {53.04, -3.11155}, \
{53.206, -3.11276}, {53.373, -3.11392}, {53.54, -3.11483}, {53.707, \
-3.11594}, {53.873, -3.11723}, {54.04, -3.1187}, {54.207, -3.11987}, \
{54.373, -3.1208}, {54.54, -3.12182}, {54.707, -3.12322}, {54.874, \
-3.12389}, {55.04, -3.1249}, {55.207, -3.12583}, {55.374, -3.12675}, \
{55.54, -3.12768}, {55.707, -3.12841}, {55.874, -3.12894}, {56.04, \
-3.12974}, {56.207, -3.13029}, {56.374, -3.13117}, {56.541, \
-3.13199}, {56.707, -3.13253}, {56.874, -3.13346}, {57.041, \
-3.13419}, {57.207, -3.1349}, {57.374, -3.13577}, {57.541, -3.13673}, \
{57.707, -3.13775}, {57.874, -3.13874}, {58.041, -3.13986}, {58.208, \
-3.14108}, {58.374, -3.14227}, {58.541, -3.14371}, {58.708, \
-3.14541}, {58.874, -3.14667}, {59.041, -3.14806}, {59.208, \
-3.14936}, {59.375, -3.15035}, {59.541, -3.15093}, {59.708, \
-3.15153}, {59.875, -3.15204}, {60.041, -3.15259}, {60.208, \
-3.15286}, {60.375, -3.15331}, {60.542, -3.15382}, {60.708, \
-3.15441}, {60.875, -3.15526}, {61.042, -3.15584}, {61.208, \
-3.15649}, {61.375, -3.15735}, {61.542, -3.15794}, {61.708, \
-3.15853}, {61.875, -3.15903}, {62.042, -3.15954}, {62.209, \
-3.16029}, {62.375, -3.16111}, {62.542, -3.16198}, {62.709, \
-3.16293}, {62.875, -3.16414}, {63.042, -3.16488}, {63.209, \
-3.16523}, {63.376, -3.16544}, {63.542, -3.16512}, {63.709, \
-3.16478}, {63.876, -3.16447}, {64.042, -3.1643}, {64.209, -3.16428}, \
{64.376, -3.16453}, {64.542, -3.16472}, {64.709, -3.16491}, {64.876, \
-3.16592}, {65.043, -3.16649}, {65.209, -3.1669}, {65.376, -3.16724}, \
{65.543, -3.16794}, {65.709, -3.16872}, {65.876, -3.16947}, {66.043, \
-3.17045}, {66.209, -3.17175}, {66.376, -3.17286}, {66.543, \
-3.17388}, {66.71, -3.17486}, {66.876, -3.1752}, {67.043, -3.17552}, \
{67.21, -3.17595}, {67.376, -3.17627}, {67.543, -3.17659}, {67.71, \
-3.17722}, {67.877, -3.17765}, {68.043, -3.17803}, {68.21, -3.1792}, \
{68.377, -3.17991}, {68.543, -3.18039}, {68.71, -3.18084}, {68.877, \
-3.18093}, {69.043, -3.18112}, {69.21, -3.18162}, {69.377, -3.18217}, \
{69.544, -3.18261}, {69.71, -3.18302}, {69.877, -3.18345}, {70.044, \
-3.18395}, {70.21, -3.18487}, {70.377, -3.18543}, {70.544, -3.186}, \
{70.711, -3.18667}, {70.877, -3.18754}, {71.044, -3.18849}, {71.211, \
-3.18952}, {71.377, -3.19067}, {71.544, -3.19142}, {71.711, \
-3.19204}, {71.877, -3.19248}, {72.044, -3.19301}, {72.211, \
-3.19295}, {72.378, -3.19334}, {72.544, -3.19394}, {72.711, \
-3.19464}, {72.878, -3.19587}, {73.044, -3.19667}, {73.211, \
-3.19722}, {73.378, -3.19759}, {73.545, -3.198}, {73.711, -3.19873}, \
{73.878, -3.1996}, {74.045, -3.20035}, {74.211, -3.20105}, {74.378, \
-3.2019}, {74.545, -3.20264}, {74.711, -3.20322}, {74.878, -3.20365}, \
{75.045, -3.20413}, {75.212, -3.20473}, {75.378, -3.20529}, {75.545, \
-3.20568}, {75.712, -3.20605}, {75.878, -3.20645}, {76.045, \
-3.20676}, {76.212, -3.20722}, {76.378, -3.20783}, {76.545, \
-3.20856}, {76.712, -3.20912}, {76.879, -3.20979}, {77.045, \
-3.21056}, {77.212, -3.21135}, {77.379, -3.21183}, {77.545, \
-3.21243}, {77.712, -3.21325}, {77.879, -3.21396}, {78.046, \
-3.21456}, {78.212, -3.21531}, {78.379, -3.216}, {78.546, -3.21655}, \
{78.712, -3.21719}, {78.879, -3.21792}, {79.046, -3.21871}, {79.212, \
-3.21949}, {79.379, -3.22028}, {79.546, -3.22158}, {79.713, \
-3.22287}, {79.879, -3.2241}, {80.046, -3.22514}, {80.213, -3.22613}, \
{80.379, -3.22681}, {80.546, -3.22724}, {80.713, -3.22747}, {80.88, \
-3.22699}, {81.046, -3.22707}, {81.213, -3.22742}, {81.38, -3.2278}, \
{81.546, -3.22833}, {81.713, -3.22886}, {81.88, -3.22959}, {82.046, \
-3.23035}, {82.213, -3.231}, {82.38, -3.23159}, {82.547, -3.23249}, \
{82.713, -3.23358}, {82.88, -3.23417}, {83.047, -3.23486}, {83.213, \
-3.23547}, {83.38, -3.23607}, {83.547, -3.23639}, {83.714, -3.23688}, \
{83.88, -3.23748}, {84.047, -3.23806}, {84.214, -3.23832}, {84.38, \
-3.23879}, {84.547, -3.23916}, {84.714, -3.23936}, {84.88, -3.23948}, \
{85.047, -3.23981}, {85.214, -3.24034}, {85.381, -3.24109}, {85.547, \
-3.24182}, {85.714, -3.24256}, {85.881, -3.24324}, {86.047, \
-3.24377}, {86.214, -3.2442}, {86.381, -3.24476}, {86.548, -3.24538}, \
{86.714, -3.2459}, {86.881, -3.24629}, {87.048, -3.24686}, {87.214, \
-3.24733}, {87.381, -3.24774}, {87.548, -3.24829}, {87.714, \
-3.24898}, {87.881, -3.24949}, {88.048, -3.24984}, {88.215, \
-3.25029}, {88.381, -3.25082}, {88.548, -3.25122}, {88.715, \
-3.25177}, {88.881, -3.25247}, {89.048, -3.25315}, {89.215, \
-3.25372}, {89.381, -3.25427}, {89.548, -3.25475}, {89.715, \
-3.25498}, {89.882, -3.25505}}
But when I use the same (except the limits) it doesn't seem to quite work exact, as I get a DT which visually seems to be lower and the plot also doesn't quite get the values on the curve. What am I doing wrong here?. The code is as follows:
n11 = 20; n12 = 35; (*Glass line limits*)
n21 = 50; n22 = 60; (*Liquid line limits*)
n31 = n11; n32 = n21; (*Region in between*)
tan1[x_] = Fit[Select[data1, n11 <= #[[1]] <= n12 &], {1, x}, x];
tan2[x_] = Fit[Select[data1, n21 <= #[[1]] <= n22 &], {1, x}, x];
pol = Fit[Select[data1, n31 <= #[[1]] <= n32 &], {1, x, x^2, x^3}, x];
infl = x /. Solve[D[pol, {x, 2}] == 0, x][[1]];
ys = {tan1[infl], tan2[infl]};
{y16, y84} = ys[[1]] + {0.16, 0.84} (ys[[2]] - ys[[1]]);
{x16, x84} = (x /.
Solve[{pol == #, n31 < x < n32}, x][[1]]) & /@ {y16, y84}
DT = x84 - x16 (*5.6063*)
xm = (x16 + x84)/2;
ym = (y16 + y84)/2;
Show[ListLinePlot[Select[data1, n11 <= #[[1]] <= n22 &]],
Graphics[{Line[{{{n11, tan1[n11]}, {n32, tan1[n32]}}, {{n31,
tan2[n31]}, {n22, tan2[n22]}}}],
Line[{{xm, tan1[xm]}, {xm, tan2[xm]}}], PointSize[0.02],
Point[Transpose[{{x16, x84}, {y16, y84}}]], {Dashed,
Line[{{x16, y16}, {x16, y16 + 0.6 (y84 - y16)}}],
Line[{{x84, y84}, {x84, y84 - 0.6 (y84 - y16)}}]},
Arrow[{{x16 - 10, y16}, {x16, y16}}], Text["16%", {x16 - 13, y16}],
Arrow[{{x84 + 10, y84}, {x84, y84}}],
Text["84%", {x84 + 13, y84}],
Arrow[{{xm + 10, tan1[xm] - 0.05}, {xm, tan1[xm]}}],
Text["1.19%", {xm + 14, tan1[xm] - 0.05}],
Arrow[{{xm - 10, tan2[xm] + 0.05}, {xm, tan2[xm]}}],
Text["1.19%", {xm - 14, tan2[xm] + 0.05}],
Arrow[{{x16 - 10, ym}, {x16, ym}}],
Text[NumberForm[x84 - x16, 3], {x84 + 7, ym - 0.03}],
Arrow[{{x84 + 10, ym}, {x84, ym}}]}]]
Which gives:
